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Finding the Third Proportional to 209,184 and 430,752

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Solution

The third proportional to 209,184 and 430,752 is: 887,005.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,184 : 430,752 = 430,752 : x
  2. Step 2: Convert to fraction form
    209,184/430,752 = 430,752/x
  3. Step 3: Cross multiply
    209,184x = 430,752 × 430,752
  4. Step 4: Simplify right side
    209,184x = 185,547,285,504
  5. Step 5: Solve for x
    x = 185,547,285,504/209,184
  6. Step 6: Final answer
    x = 887,005.15

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.